Factors of 342 are the list of integers that we can split evenly into 342. There are 12 factors of 342 of which 342 itself is the biggest factor and its prime factors are 2, 3, 19 The sum of all factors of 342 is 780.

• All Factors of 342: 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171 and 342
• Prime Factors of 342: 2, 3, 19
• Prime Factorization of 342: 2¹ × 3² × 19¹
• Sum of Factors of 342: 780

1.	What Are the Factors of 342?
2.	Factors of 342 by Prime Factorization
3.	Factors of 342 in Pairs
4.	FAQs on Factors of 342

Factors of 342 are pairs of those numbers whose products result in 342. These factors are either prime numbers or composite numbers.

How to Find the Factors of 342?

To find the factors of 342, we will have to find the list of numbers that would divide 342 without leaving any remainder.

• 342/57 = 6; therefore, 57 is a factor of 342 and 6 is also a factor of 342.
• 342/18 = 19; therefore, 18 is a factor of 342 and 19 is also a factor of 342.

Similarly we can find other factors. Hence, the factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342.

☛ Also Check:

• Factors of 100 - The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100
• Factors of 30 - The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
• Factors of 41 - The factors of 41 are 1, 41
• Factors of 144 - The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
• Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

The number 342 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 342. The first step is to divide the number 342 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 342 ÷ 2 = 171

Further dividing 171 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 171 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.

So, the prime factorization of 342 can be written as 2¹ × 3² × 19¹ where 2, 3, 19 are prime.

Pair factors of 342 are the pairs of numbers that when multiplied give the product 342. The factors of 342 in pairs are:

• 1 × 342 = (1, 342)
• 2 × 171 = (2, 171)
• 3 × 114 = (3, 114)
• 6 × 57 = (6, 57)
• 9 × 38 = (9, 38)
• 18 × 19 = (18, 19)

Negative pair factors of 342 are:

• -1 × -342 = (-1, -342)
• -2 × -171 = (-2, -171)
• -3 × -114 = (-3, -114)
• -6 × -57 = (-6, -57)
• -9 × -38 = (-9, -38)
• -18 × -19 = (-18, -19)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.